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Numbered Hats: Are the guesses secret? Colored Hats: The first one makes a sacrifice and says the color of the next hat. He has a 0.5 chance. The next person
by posterboy 10y ago
Numbered Hats: Are the guesses secret?
Colored Hats:
The first one makes a sacrifice and says the color of the next hat. He has a 0.5 chance. The next person thus has a chance of 1. The third has to make a sacrifice again. Naively that is an average 0.75 chance over all. An exact calculation is too complicated for my taste.
- twhb 10y agoNumbered hats: yes, they don't hear what the others guess. Of course, they could still "know", if they'd agreed upon guesses beforehand. Colored hats: true, but you can do better than 75%-ish.